Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid
DOI10.1007/s10444-014-9382-zzbMath1319.65102OpenAlexW2069699724MaRDI QIDQ2355183
Ratikanta Behera, Mani Mehra, Nicholas K.-R. Kevlahan
Publication date: 21 July 2015
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11375/16818
numerical exampleadvection equationmultilevel methodadaptive wavelet collocation methodsecond generation waveletspherical geodesic gridgradient operator on the spherewind field geophysical test cases
Numerical methods for wavelets (65T60) Meteorology and atmospheric physics (86A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) First-order hyperbolic equations (35L02)
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Cites Work
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- Inspection of hexagonal and triangular C-grid discretizations of the shallow water equations
- A class of deformational flow test cases for linear transport problems on the sphere
- An adaptive wavelet collocation method for the solution of partial differential equations on the sphere
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- A conservative fully adaptive multiresolution algorithm for parabolic PDEs
- Integration of barotropic vorticity equation over spherical geodesic grid using multilevel adaptive wavelet collocation method
- A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain
- Coherent vortex simulation of weakly compressible turbulent mixing layers using adaptive multiresolution methods
- An adaptive multiresolution scheme with local time stepping for evolutionary PDEs
- Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology
- Numerical solution of the reaction-advection-diffusion equation on the sphere
- Wavelet Methods in Computational Fluid Dynamics
- A butterfly subdivision scheme for surface interpolation with tension control
- An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid
- Ten Lectures on Wavelets
- The Lifting Scheme: A Construction of Second Generation Wavelets
- Solving Multi-dimensional Evolution Problems with Localized Structures using Second Generation Wavelets
- A Spectral Method for the Vorticity Equation on the Surface
- Second-generation wavelet collocation method for the solution of partial differential equations
- Shallow water model on a modified icosahedral geodesic grid by using spring dynamics.
